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Finding the Third Proportional to 370,632 and 809,226

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Solution

The third proportional to 370,632 and 809,226 is: 1,766,838.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,632 : 809,226 = 809,226 : x
  2. Step 2: Convert to fraction form
    370,632/809,226 = 809,226/x
  3. Step 3: Cross multiply
    370,632x = 809,226 × 809,226
  4. Step 4: Simplify right side
    370,632x = 654,846,719,076
  5. Step 5: Solve for x
    x = 654,846,719,076/370,632
  6. Step 6: Final answer
    x = 1,766,838.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.